一个二维的数字模型基于海军司烧方程和液体(CLEAR-VOF ) 的计算 Lagrangian-Eulerian 移流重新映射卷,方法被开发模仿波浪和流动问题。海军司烧方程是有有第三顺序的精确性的一个三步的有限元素方法的 discretized。在 CLEAR-VOF 方法, VOF 功能 F 以 Lagrangian 方式被计算并且允许复杂免费表面精确地被捕获。在一个扁平的底部上的常规波浪和独居的波浪的繁殖,并且在二个不同斜坡上独居的波浪变浅并且碎与这个模型一起被模仿,并且数字结果同意了试验性的数据和理论解决方案。水坝倒塌流动的基准测试也与未组织的网孔为波浪和流动模拟与现在的模型的一个未组织的网孔,和能力被模仿,被验证。结果证明模型为波浪和流动问题的数字模拟是有效的与组织并且未组织的网孔。
A two-dimensional numerical model based on the Navier-Stokes equations and computational Lagrangian-Eulerian advection remap-volume of fluid (CLEAR-VOF) method was developed to simulate wave and flow problems. The Navier-Stokes equations were discretized with a three-step finite element method that has a third-order accuracy. In the CLEAR-VOF method, the VOF function F was calculated in the Lagrangian manner and allowed the complicated free surface to be accurately captured. The propagation of regular waves and solitary waves over a flat bottom, and shoaling and breaking of solitary waves on two different slopes were simulated with this model, and the numerical results agreed with experimental data and theoretical solutions. A benchmark test of dam-collapse flow was also simulated with an unstructured mesh, and the capability of the present model for wave and flow simulations with unstructured meshes, was verified. The results show that the model is effective for numerical simulation of wave and flow problems with both structured and unstructured meshes.